A201330 - OEIS

%I #8 Apr 10 2021 20:56:25

%S 6,5,7,2,3,4,0,6,6,2,1,6,4,9,4,6,3,5,6,3,7,7,9,1,0,9,9,2,0,6,7,1,4,7,

%T 7,0,5,7,9,1,1,3,1,8,6,8,8,8,9,7,9,3,6,2,4,7,8,9,6,4,7,3,0,8,1,7,5,8,

%U 7,4,6,0,1,5,8,9,4,7,3,9,1,2,8,3,9,3,7,3,9,4,9,4,7,6,2,5,9,1,7

%N Decimal expansion of x satisfying 3*x^2 = cot(x) and 0 < x < Pi.

%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.6572340662164946356377910992067147705...

%t a = 3; c = 0;

%t f[x_] := a*x^2 + c; g[x_] := Cot[x]

%t Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A201330 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 30 2011